On the relationship between boundary value problems

DOI10.1016/0022-247X(79)90136-7zbMath0424.35034OpenAlexW1997946478MaRDI QIDQ1134906

G. F. Roach, George C. Hsiao

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(79)90136-7

zbMATH Keywords

Laplace's equationintegral equations of the first kindGreen identityDirichlet and Neumann boundary value problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Connections of harmonic functions with differential equations in higher dimensions (31B35) Linear integral equations (45A05)

Related Items (6)

On the Commutative Properties of Boundary Integral Operators ⋮ On the stability of integral equations of the first kind with logarithmic kernels ⋮ On the construction of Roche harmonics ⋮ On two methods for elimination of non-unique solutions of an integral equation with logarithmic kernel/^† ⋮ On the coupled BEM and FEM for a nonlinear exterior Dirichlet problem in \(\mathbb{R}^ 2\) ⋮ An augmented Galerkin procedure for the boundary integral method applied to mixed boundary value problems

Cites Work

• A finite element method for some integral equations of the first kind
• The Dirichlet problem for the Helmholtz equation
• Research announcement on gaierkirfs method for a class of integra equations of the first kind
• Une méthode variationnelle d’éléments finis pour la résolution numérique d’un problème extérieur dans $\mathbf {R}^3$
• Solution of Boundary Value Problems by Integral Equations of the First Kind
• Boundary Integral Equations for the Three-Dimensional Helmholtz Equation
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